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Finding the Fourth Proportional to 602.64, 903.76 and 512.33

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Solution

The fourth proportional to 602.64, 903.76 and 512.33 is: 768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.64 : 903.76 = 512.33 : x
  2. Step 2: Convert to fraction form
    602.64/903.76 = 512.33/x
  3. Step 3: Cross multiply
    602.64x = 903.76 × 512.33
  4. Step 4: Simplify right side
    602.64x = 463,017.56
  5. Step 5: Solve for x
    x = 463,017.56/602.64
  6. Step 6: Final answer
    x = 768.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.